Question

In a city there are three major news papers, A, B, C of which atleast two are read by
35% of population. It is known that newspaper C is read by 45% of the population and
the newspapers A and B are read by 15% and that all the three are read by 10%. What
percent of population read only newspaper C ?​

Answer 1

Step-by-step explanation:

Those who read all the three news papers = 10%

Those who read newspapers A and B = 15%

Those who read newspapers C = 45%

Those who read newspapers C only = ?

Those who read at least two news papers = 35%

=> 5% + x + 10% + y = 35%

=> x + y = 35% - 15%

=> x + y = 20% → equation 1

Those who read newspapers C = 45%

=> x + 10 + y + z = 45%

=> x + y + z = 45% - 10%

=> x + y + z = 35%

=> 20% + z = 35% [ :. from eqn 1 ]

=> z = 35% - 20%

=> z = 15%

:. Those who read news paper C only = 15%